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PRODID:-//Discrete Mathematics Group - ECPv6.15.20//NONSGML v1.0//EN
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X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
TZOFFSETTO:+0900
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DTSTART:20210101T000000
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BEGIN:VEVENT
DTSTART;TZID=Asia/Seoul:20220328T163000
DTEND;TZID=Asia/Seoul:20220328T173000
DTSTAMP:20260420T134042
CREATED:20220314T051725Z
LAST-MODIFIED:20240707T080143Z
UID:5383-1648485000-1648488600@dimag.ibs.re.kr
SUMMARY:Ben Lund\, Thresholds for incidence properties in finite vector spaces
DESCRIPTION:Suppose that $E$ is a subset of $\mathbb{F}_q^n$\, so that each point is contained in $E$ with probability $\theta$\, independently of all other points. Then\, what is the probability that there is an $m$-dimensional affine subspace that contains at least $\ell$ points of $E$? What is the probability that $E$ intersects all $m$-dimensional affine subspaces? We give Erdős-Renyi threshold functions for these properties\, in some cases sharp thresholds. Our results improve previous work of Chen and Greenhill. This is joint work with Jeong Han Kim\, Thang Pham\, and Semin Yoo.
URL:https://dimag.ibs.re.kr/event/2022-03-28/
LOCATION:Room B232\, IBS (기초과학연구원)
CATEGORIES:Discrete Math Seminar
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